How to render UV sphere with edges?
You could do it this way:

Give your sphere a Wireframe modifier. Play with the parameters, disable the Replace Original option so that it keeps the whole sphere shape, make sure that Material Offset is set to the material slot the wireframe is supposed to display, i.e. Material Offset > 1 for the second material in the object's material list. In the Material panel prepare the materials, choose Emission type if you don't want any shadow.